What is the Least Common Multiple of 26382 and 26400?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 26382 and 26400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26382 and 26400, than apply into the LCM equation.

GCF(26382,26400) = 6
LCM(26382,26400) = ( 26382 × 26400) / 6
LCM(26382,26400) = 696484800 / 6
LCM(26382,26400) = 116080800

Least Common Multiple (LCM) of 26382 and 26400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26382 and 26400. First we will calculate the prime factors of 26382 and 26400.

Prime Factorization of 26382

Prime Factorization of 26400

Now multiplying the highest exponent prime factors to calculate the LCM of 26382 and 26400.

LCM(26382,26400) = 2⁵ × 3¹ × 4397¹ × 5² × 11¹
LCM(26382,26400) = 116080800